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A hybrid technique is presented that combines the finite element and boundary integral methods for simulating electromagnetic scattering from body-of-revolution (BOR) objects. This technique correctly models the boundary conditions along the axis of revolution in both the finite element and boundary integral formulations and yields highly accurate solutions. Because of the decoupled computations for the finite element and boundary integral equations, the technique is highly efficient as compared to the method of moments, especially for BORs comprising layered or inhomogeneous materials. It is applicable to a variety of complex, large-size BOR objects consisting of perfect conductors, anisotropic impedance surfaces, anisotropic resistive surfaces, and anisotropic inhomogeneous materials.